390469787136 has 960 divisors, whose sum is σ = 1454860382976. Its totient is φ = 102717849600.

The previous prime is 390469787087. The next prime is 390469787137. The reversal of 390469787136 is 631787964093.

390469787136 is a `hidden beast` number, since 3 + 9 + 0 + 469 + 78 + 71 + 36 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390469787137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 302454651 + ... + 302455941.

Almost surely, 2^390469787136 is an apocalyptic number.

390469787136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390469787136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727430191488).

390469787136 is an abundant number, since it is smaller than the sum of its proper divisors (1064390595840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

390469787136 is a wasteful number, since it uses less digits than its factorization.

390469787136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 390469787136 in words is "three hundred ninety billion, four hundred sixty-nine million, seven hundred eighty-seven thousand, one hundred thirty-six".